Question

Help Windy find the next number in the series.

• A. 512
• B. 556
• C. 794
• D. 689

Answer 1

The correct option is C 794

The nth term in a series is given by the sum of $x^n$ for x in the range 1 to 3, i.e., $1^n+2^n+3^n$.

Thus, the first term is:
$1^1+2^1+3^1$
= 1 + 2 + 3
= 6

The second term is:
$1^2+2^2+3^2$
= 1 + 4 + 9
= 14
and so on.

The sixth term is:
$1^6+2^6+3^6$
= 1 + 64 + 729
= 794